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Simplifying 4(u + -6) = -9u + 23 Reorder the terms: 4(-6 + u) = -9u + 23 (-6 * 4 + u * 4) = -9u + 23 (-24 + 4u) = -9u + 23 Reorder the terms: -24 + 4u = 23 + -9u Solving -24 + 4u = 23 + -9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '9u' to each side of the equation. -24 + 4u + 9u = 23 + -9u + 9u Combine like terms: 4u + 9u = 13u -24 + 13u = 23 + -9u + 9u Combine like terms: -9u + 9u = 0 -24 + 13u = 23 + 0 -24 + 13u = 23 Add '24' to each side of the equation. -24 + 24 + 13u = 23 + 24 Combine like terms: -24 + 24 = 0 0 + 13u = 23 + 24 13u = 23 + 24 Combine like terms: 23 + 24 = 47 13u = 47 Divide each side by '13'. u = 3.615384615 Simplifying u = 3.615384615
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